Variational symmetries, conserved quantities and identities for several equations of mathematical physics

DOI10.1063/1.4867626zbMath1288.35014OpenAlexW2026804428MaRDI QIDQ5414820

Veliko Donchev

Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4867626

zbMATH Keywords

envelope equationgeneralized variational principle of HerglotzBöcher equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems ⋮ Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem ⋮ When action is not least for systems with action-dependent Lagrangians ⋮ On the Herglotz variational problem ⋮ The non-holonomic Herglotz variational problem ⋮ Contact geometry and thermodynamics

Cites Work

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• First Noether-type theorem for the generalized variational principle of Herglotz
• Symmetries of the generalized variational functional of Herglotz for several independent variables
• Invariant variation problems
• The Variational Principle of Hergloz and Related Results
• Generalized variational principle of Herglotz for several independent variables. First Noether-type theorem
• Identities from infinite-dimensional symmetries of Herglotz variational functional

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